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Gravitational fields invariant for a 2-dimensional Lie algebra of Killing fields [ X,Y] =Y, with Y of light type, are analyzed. The conditions for them to represent gravitational waves are verified and the definition of energy and…

广义相对论与量子宇宙学 · 物理学 2014-11-17 F. Canfora , G. Vilasi , P. Vitale

Exact solutions of Einstein field equations invariant for a non-Abelian 2-dimensional Lie algebra of Killing fields are described. Physical properties of these gravitational fields are studied, their wave character is checked by making use…

广义相对论与量子宇宙学 · 物理学 2007-05-23 F. Canfora , L. Parisi , G. Vilasi

Vacuum gravitational fields invariant for a non Abelian Lie algebra generated by two Killing fields whose commutator is light-like are analyzed. It is shown that they represent nonlinear gravitational waves obeying to two nonlinear…

广义相对论与量子宇宙学 · 物理学 2009-11-07 F. Canfora , G. Vilasi , P. Vitale

Vacuum gravitational fields admitting a light-like Killing field were systematically studied starting around 1960. Besides the already known plane waves, a second class of gravitational wave fields was found. In contrast to plane waves,…

广义相对论与量子宇宙学 · 物理学 2020-02-06 G. Dautcourt

A quasi-Keplerian parameterisation for the solutions of second post-Newtonian (PN) accurate equations of motion for spinning compact binaries is obtained including leading order spin-spin and next-to-leading order spin-orbit interactions.…

广义相对论与量子宇宙学 · 物理学 2015-03-13 Manuel Tessmer , Johannes Hartung , Gerhard Schaefer

Vacuum gravitational fields invariant for a bidimensional non Abelian Lie algebra of Killing fields, are explicitly described. They are parameterized either by solutions of a transcendental equation (the tortoise equation) or by solutions…

广义相对论与量子宇宙学 · 物理学 2009-11-07 G. Sparano , G. Vilasi , A. M. Vinogradov

The two independent ``plus" and ``cross" polarization waveforms associated with the gravitational waves emitted by inspiralling, non-spinning, compact binaries are presented, ready for use in the data analysis of signals received by future…

广义相对论与量子宇宙学 · 物理学 2009-10-28 Luc Blanchet , Bala R. Iyer , Clifford M. Will , Alan G. Wiseman

Twisted gravitational waves (TGWs) are nonplanar waves with twisted rays that move along a fixed direction in space. We study further the physical characteristics of a recent class of Ricci-flat solutions of general relativity representing…

广义相对论与量子宇宙学 · 物理学 2021-01-19 Donato Bini , Carmen Chicone , Bahram Mashhoon , Kjell Rosquist

A gravitational wave must be nonlinear to be able to transport its own source, that is, energy and momentum. A physical gravitational wave, therefore, cannot be represented by a solution to a linear wave equation. Relying on this property,…

广义相对论与量子宇宙学 · 物理学 2010-03-02 R. Aldrovandi , J. G. Pereira , Roldao da Rocha , K. H. Vu

The paper generalizes the structure of gravitational waves from orbiting spinning binaries under leading order spin-orbit coupling, as given in the work by K\"onigsd\"orffer and Gopakumar [PRD 71, 024039 (2005)] for single-spin and…

广义相对论与量子宇宙学 · 物理学 2015-05-14 Manuel Tessmer

One of the promising sources of gravitational radiation is a binary system composed of compact stars. It is an important question how the rotation of the bodies and the eccentricity of the orbit affect the detectable signal. Here we present…

广义相对论与量子宇宙学 · 物理学 2010-10-27 Mátyás Vasúth , János Majár

We present a systematic and robust approach to nonlinear gravitational perturbations of vacuum spacetimes. This approach provides a basis for a theory of nonlinear gravitational waves. In particular, we show that the system of perturbative…

广义相对论与量子宇宙学 · 物理学 2017-12-27 Andrzej Rostworowski

We derive gravitational waves in a theory with non-local curvature corrections to the Hilbert-Einstein Lagrangian. In addition to the standard two massless tensor modes, with plus and cross polarizations, helicity 2 and angular frequency…

广义相对论与量子宇宙学 · 物理学 2021-09-01 Salvatore Capozziello , Maurizio Capriolo

The rotation of the bodies and the eccentricity of the orbit have significant effects on the emitted gravitational radiation of binary systems. This work focuses on the evaluation of the gravitational wave polarization states for spinning…

广义相对论与量子宇宙学 · 物理学 2008-11-26 János Majár , Mátyás Vasúth

We establish a correspondence between perturbative classical gluon and gravitational radiation emitted by spinning sources, to linear order in spin. This is an extension of the non-spinning classical perturbative double copy and uses the…

高能物理 - 理论 · 物理学 2018-06-06 Jingping Li , Siddharth G. Prabhu

Spin-2, spin-1 and spin-0 modes in linearised teleparallelism are obtained where the totally skew-symmetric complex contortion tensor generates scalar torsion waves and the symmetric contortion in the last two indices generates…

广义相对论与量子宇宙学 · 物理学 2007-05-23 L. C. Garcia de Andrade

Gravitational waves exhibit the unique signature of their spin-2 nature in processes of wave scattering, due to the interaction between spin and a background spacetime. Since the spin effect is more pronounced for longer wavelengths and…

广义相对论与量子宇宙学 · 物理学 2024-12-09 Kei-ichiro Kubota , Shun Arai , Hayato Motohashi , Shinji Mukohyama

The prime candidate of LIGO/VIRGO sources of gravitational waves is the spiral in of black holes and neutron stars in compact binaries. While the early stages of the evolution of compact binaries is computable from post-Newtonian…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Maurice H. P. M. van Putten

Gravitational waves with parallel rays are known to have remarkable properties: Their orbit space of null rays possesses the structure of a non-relativistic spacetime of codimension-one. Their geodesics are in one-to-one correspondence with…

高能物理 - 理论 · 物理学 2016-02-22 Xavier Bekaert , Kevin Morand

We derive a relation between the two polarization modes of a plane, linear gravitational wave in the second-order approximation. Since these two polarizations are not independent, an initially monochromatic gravitational wave loses its…

广义相对论与量子宇宙学 · 物理学 2011-10-05 Nikodem J. Poplawski
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